/******************************************************************************

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*******************************************************************************/
#include <bits/stdc++.h>
#include <fstream>
using namespace std;
vector<pair<int,int>>v[50005];
priority_queue<pair<int,int>>pq;
int dist[50005];
int main()
{
    ///ifstream cin("dijkstra.in");
   // ofstream cout("dijkstra.out");
   // cout<<777777;
    int n,m,a,b,c;
    cin>>n>>m;
    for(int i=0;i<m;i++)
    {
        cin>>a>>b>>c;
        v[a].push_back({b,c});
    }
    pq.push({0,1});
    for(int i=2;i<=n;i++)
    dist[i]=10000000;
    while(pq.size()>0)
    {
     pair<int,int>g= pq.top();
     pq.pop();
     int nodcur=g.second, val=-g.first;
     for(auto var : v[nodcur])
     {
         if(dist[var.first]>var.second+val)
         {
             dist[var.first]=var.second+val;
             pq.push({-dist[var.first], var.first});
         }
     }
    }
    for(int i=2;i<=n;i++)
    cout<<dist[i]%10000000<<" ";
    return 0;
}